Existence of Solutions for Some Boundary Value Problems of Fractional $p$-Laplacian Equation at Resonance

Abstract

This paper considers the existence of solutions for two boundary value problems of fractional $p$-Laplacian equation at resonance. Under certain nonlinear growth condition of the nonlinearity, two new existence results are obtained by using the coincidence degree theory. As an application, an example to illustrate our results is given.